use the graph of the function f shown to estimate the following limits and the function value. complete…

use the graph of the function f shown to estimate the following limits and the function value. complete parts (a) through (d). (a) find the limit lim f(x) as x→ - 3. select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. lim f(x) = (type an integer or a decimal.) b. the limit does not exist.

use the graph of the function f shown to estimate the following limits and the function value. complete parts (a) through (d). (a) find the limit lim f(x) as x→ - 3. select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. lim f(x) = (type an integer or a decimal.) b. the limit does not exist.

Answer

Explanation:

Step1: Analyze left - hand limit

As (x) approaches (- 3) from the left side ((x\to - 3^{-})), we look at the part of the graph where (x) values are less than (-3) and getting closer to (-3). Following the curve of the function for (x\lt - 3) and approaching (x =-3), we see that the (y) - values approach (2).

Answer:

A. (\lim_{x\to - 3^{-}}f(x)=2)